The letters should be engraved on the needle. I am not sure of actual dimensions of the needles (except the jet "hole"....that's usually 0.090")
At some point (soon) I may have to get back into SU carbs. I've been away from them for quite a while.
My MGB has the crappy downdraft Weber. My 1500 Spridget racer has been running an S&S carb (copy of an American Zenith) with accell pump and adjustable main jet for about 6 years now. Real simple to adjust (but also simple to screw up).
From my reading of the HS4 carb, the AAA needle would be a good place to start.
The problem is that there isn't much known data on a single HS4 on the 1500 because it was never offered from the factory.
I will tell you that I just ran a common needle in mine ("AAA" needle) and it was about right for the street. Once I got to idle smooth by adjusting the throttle stop and jet nut, I didn't do much with it. I have no idea if it was running rich or lean at high speed. A year later, when I went racing with it, I switched to the S&S carb.
The good thing about SU carbs is that they are sort of self correcting, so you will usually have decent running if the needle is at least close.
Here is a needle selection program that may help
https://www.winsu.co.uk/getitnow.html
You might find it quicker to just call Joe Curto and see what he suggests (he sells SU needle). He would have a better idea than anyone I can think of.
https://www.joecurto.com/